By adopting the variational point of view, the constitutive equations of a non linear elastic plate are deduced under kinematical constraints on the admissible deformations.

We propose a new reduced model for gravity-driven free-surface flows of shallow elastic fluids. It is obtained by an asymptotic expansion of the upper-convected Maxwell model for elastic fluids. The viscosity is assumed small (of order epsilon, the aspect ratio of the thin layer of fluid), but the relaxation time is kept finite. Additionally to the classical layer depth and velocity in shallow ...

The permeability and coupled behavior of pore pressure and deformations play an important role in hydraulic fracturing (HF) modeling. In this work, a poroelastic displacement discontinuity method is used to study the permeability effect on the HF development in various formation permeabilities. The numerical method is verified by the existing analytical and experimental data. Then the propagati...

Deformation estimation of elastic object assuming an internal organ is important for the computer navigation of surgery. The aim of this study is to estimate the deformation of an entire three-dimensional elastic object using displacement information of very few observation points. A learning approach with a neural network was introduced to estimate the entire deformation of an object. We appli...

In this work a new approach to multidimensional geometry and multidimensional physics based on smooth infinitesimal analysis (SIA) is proposed. Reality may be considered as the process of time evolution of holistic energetically very weak macro objects elastic membranes with the geometry based on smooth infinitesimal analysis. An embedded membrane in this multidimensional world will look differ...

An increasing number of real-time applications, related to multimedia and adaptive control systems, require greater flexibility than classical real-time theory usually permits. In this paper we present a novel periodic task model, in which tasks’ periods are treated as springs, with given elastic coefficients. Under this framework, periodic tasks can intentionally change their execution rate to...

The equilibrium structure of a dinucleosome is studied using an elastic model that takes into account the force and torque balance conditions. Using the proper boundary conditions, it is found that the conformational energy of the problem does not depend on the length of the linker DNA. In addition it is shown that the two histone octamers are almost perpendicular to each other, and the linker ...

To date, much research has been done on the manipulation of objects by softfingered robotic hands. Most of these studies, particularly the earlier ones, focused only on contact mechanisms on various soft fingers. More recently, there has been an increase in the number of studies investigating the sensing mechanisms of the human hand and designing control systems in robotic applications to emula...

We propose elastic isotropic wavefield tomography formulated with the misfit of observed and recorded data as the objective function. The adjoint-state method enables efficient calculation of the gradient of this data misfit function. We solve this optimization problem with the gradient-descent method in order to update the model parameters iteratively. Using the elastic isotropic wave-equation...

We introduce a simplified model for the minimization of the elastic energy in thin shells. This model is not obtained by an asymptotic analysis. The thickness of the shell remains a parameter as in Reisner-Mindlin’s model for plates and Koiter’s model for shells in the linear case. The simplified model admits always minimizers by contrast with the original one. We show the relevance of our appr...